An abstract for a talk based
on this paper appears in Abstracts of Short Communications and
Poster Sessions, International Congress of Mathematicians, Beijing
2002 (Higher Education Press, Beijing, 2002).

There is also a significantly longer version of this paper,
with several different proofs of the main result, more pictures,
and a longer list of references: see Ellipses in the inversive
plane, listed under Lecture Notes (below).

For related
images, see the link on the "hippopede of Proclus" on
my graphics
gallery page.

I have also prepared a "teacher's edition," with solutions to
selected problems, and sample quiz and test questions.

Notes for the Physics-Based Calculus workshop, for a
Continuing Studies Summer Workshop for Teachers, on incorporating
Fourier analysis in a calculus curriculum. 10 pages, no pictures.
Updated June 9, 2004.

Lecture Notes

These notes are based on talks I've given about
my research. See also my Grants and
Talks page for a list of talks I've given.

Glaeser's inequality on an interval, joint work with
Y. Pan, based on our published article with the same title (listed
above). Here's a longer, illustrated version of our
paper, related to talks given at MAA meetings in Indiana, Kentucky,
and the 2010 MathFest.

Ellipses in the inversive plane, joint work with
M. Frantz, related to a Mar. 2003 talk at the MAA Indiana Section
meeting at Butler University, and also an Oct. 2001 talk at the
Midwest SCV conference at the University of Michigan. A
shorter article on the same topic appeared in 2007 (listed above).